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Finding the Fourth Proportional to 431,968.60, 647,952.90 and 243,011.80

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Solution

The fourth proportional to 431,968.60, 647,952.90 and 243,011.80 is: 364,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,968.60 : 647,952.90 = 243,011.80 : x
  2. Step 2: Convert to fraction form
    431,968.60/647,952.90 = 243,011.80/x
  3. Step 3: Cross multiply
    431,968.60x = 647,952.90 × 243,011.80
  4. Step 4: Simplify right side
    431,968.60x = 157,460,200,544.22
  5. Step 5: Solve for x
    x = 157,460,200,544.22/431,968.60
  6. Step 6: Final answer
    x = 364,517.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.